74% of fishing boats that disappear while at sea are eventually found by rescue missions. 80% of the boats that are found have an emergency GPS locator, whereas 30% of the boats that are not found have a similar locator. a. What is the probability that a lost boat has a GPS locator and will not be found by rescue missions? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability that the next boat to disappear will have a locator on board? Answer in exact fraction, or rounded to at least 4 decimal places. c. If a boat that disappeared does not have an emergency locator, what is the probability that it will not be found by rescue missions? Answer in exact fraction, or rounded to at least 4 decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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74% of fishing boats that disappear while at sea are eventually found by rescue missions. 80% of the boats that are found have an emergency GPS locator, whereas 30% of the
boats that are not found have a similar locator.
a. What is the probability that a lost boạt has a GPS locator and will not be found by rescue missions?
Answer in exact fraction, or rounded to at least 4 decimal places.
b. What is the probability that the next boat to disappear will have a locator on board?
Answer in exact fraction, or rounded to at least 4 decimal places.
c. If a boat that disappeared does not have an emergency locator, what is the probability that it will not be found by rescue missions?
Answer in exact fraction, or rounded to at least 4 decimal places.
Transcribed Image Text:74% of fishing boats that disappear while at sea are eventually found by rescue missions. 80% of the boats that are found have an emergency GPS locator, whereas 30% of the boats that are not found have a similar locator. a. What is the probability that a lost boạt has a GPS locator and will not be found by rescue missions? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability that the next boat to disappear will have a locator on board? Answer in exact fraction, or rounded to at least 4 decimal places. c. If a boat that disappeared does not have an emergency locator, what is the probability that it will not be found by rescue missions? Answer in exact fraction, or rounded to at least 4 decimal places.
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